# How do you solve #10^(4x -1) = 1000# and find any extraneous solutions?

##### 1 Answer

May 5, 2018

The only solution is

#### Explanation:

Rewrite

Now, since the bases are the same, the exponents must be equal to each other:

This is the only solution. We can verify it by plugging it back into the original equation:

Hope this helped!